Home
Class 12
MATHS
Find (1)/(2)(A+A')and(1)/(2)(A-A), when ...

Find `(1)/(2)(A+A')and(1)/(2)(A-A)`, when
`A=[{:(0,a,b),(-a,0,c),(-b,-c,0):}]`

Text Solution

Verified by Experts

The correct Answer is:
`=[{:(0,a,b),(-a,0,c),(-b,-c,0):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.4|18 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE -3|15 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.2|22 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

Similar Questions

Explore conceptually related problems

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(0,a,-b),(-a,0,-c),(b,c,0):}|=0

If ane0,bne0,cne0 and |{:(0,x^2+a,x^4+b),(x^2-a,0,x-c),(x^3-b,x^2+c,0):}|=? , for x=0

If [{:(x+3,z+4,2y-7),(-6,a-1,0),(b-3,-21,0):}]=[{:(0,6,3y-2),(-6,-3,2c+2),(2b+4,-21,0):}] Find the values of a,b,c,x,y and z.

Find the value of a ,b,c and d from the equation : [{:(a-b,2a+c),(2a-b,3c+d):}]=[{:(-1,5),(0,13):}] .

Find AB, if A=[(0,-1),(0,2)] and B=[(3,5),(0,0)] .

If A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]andC=[{:(4,1,2),(0,3,2),(1,-2,3):}] , then compute (A+B) and (B-C).Also , verify that A+(B-C) =(A+B)-C.

If A=[{:(0,6,7),(-6,0,8),(7,-8,0):}],B=[{:(0,1,1),(1,0,2),(1,2,0):}],C=[{:(2,),(-2,),(3,):}] . Calculate AC, BC and (A+B)C. Also , verify that (A+B)C=AC+BC.

If A=[{:(1,1,-1),(2,0,3),(3,-1,2):}],B=[{:(1,3),(0,2),(-1,4):}]andC=[{:(1,2,3,-4),(2,0,-2,1):}] , find A(BC) , (AB)C and show that (AB) C=A(BC),